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FOCS
1998
IEEE
14 years 1 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
BIRTHDAY
1997
Springer
14 years 29 days ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler
JCT
2006
54views more  JCT 2006»
13 years 8 months ago
Spectral estimates for Abelian Cayley graphs
We give two short proofs that for fixed d, a d-regular Cayley graph on an Abelian group of order n has second eigenvalue bounded below by d - O(dn-4/d), where the implied constant...
Joel Friedman, Ram Murty, Jean-Pierre Tillich
FAC
1998
111views more  FAC 1998»
13 years 8 months ago
A Formal Axiomatization for Alphabet Reasoning with Parametrized Processes
In the process-algebraic veri cation of systems with three or more components put in parallel, alphabet axioms are considered to be very useful. These are rules that exploit the i...
Henri Korver, M. P. A. Sellink
TPHOL
2005
IEEE
14 years 2 months ago
Mechanized Metatheory for the Masses: The PoplMark Challenge
Abstract. How close are we to a world where every paper on programming languages is accompanied by an electronic appendix with machinechecked proofs? We propose an initial set of b...
Brian E. Aydemir, Aaron Bohannon, Matthew Fairbair...